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Finding the Fourth Proportional to 127.27, 175.77 and 102.67

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Solution

The fourth proportional to 127.27, 175.77 and 102.67 is: 141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.27 : 175.77 = 102.67 : x
  2. Step 2: Convert to fraction form
    127.27/175.77 = 102.67/x
  3. Step 3: Cross multiply
    127.27x = 175.77 × 102.67
  4. Step 4: Simplify right side
    127.27x = 18,045.87
  5. Step 5: Solve for x
    x = 18,045.87/127.27
  6. Step 6: Final answer
    x = 141.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.